578292480 has 288 divisors, whose sum is σ = 2126577600. Its totient is φ = 148635648.

The previous prime is 578292437. The next prime is 578292511. The reversal of 578292480 is 84292875.

578292480 is a `hidden beast` number, since 5 + 7 + 82 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001952 + ... + 1002528.

It is an arithmetic number, because the mean of its divisors is an integer number (7383950).

Almost surely, 2^578292480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063288800).

578292480 is an abundant number, since it is smaller than the sum of its proper divisors (1548285120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

578292480 is a wasteful number, since it uses less digits than its factorization.

578292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 578292480 is about 24047.7125731326. The cubic root of 578292480 is about 833.1358991830.

The spelling of 578292480 in words is "five hundred seventy-eight million, two hundred ninety-two thousand, four hundred eighty".